Plane Definition and 1000 Threads

Homework Statement There is a uniform electric field, E = 270 N/C, parallel to the xz plane, making an angle of 32o with the positive z axis and an angle of 58o with the positive x axis. A particle with charge q= 0.475 C is moved from the point (xi = 2.0 cm, yi = 0, zi = 0) to the point (xf =...

Homework Statement The drawing shows two cars traveling in different directions with different speeds. Their velocities are: vAG = velocity of car A relative to the Ground = 27.0 m/s, due east vBG = velocity of car B relative to the Ground = 21.0 m/s, due north The driver of car B looks out...

Homework Statement The compass in a plane indicates that the plane is pointed due east; its air speed indicator reads 212 km/hr. There is a steady wind blowing from the north with a speed of 60.0 km/hr. What is the speed of the plane with respect to the ground? Homework Equations...

Homework Statement An airplane maintains a heading due west at an airspeed of 900 km/h. It is flyinh through a hurricane with winds of 300 km/h from northeast. a) in which direction is the plane moving relative to the ground? Homework EquationsThe Attempt at a Solution so I have draw...

Hello, I'm looking for information regarding this equation: or specifically in my case, when a=1:. This equation supposedly describes a mathematical pendulum in a rotating plane, however, I'm unable to find information on this specific subject. I'd really appreciate it if someone could show me...

Homework Statement A block of mass ##M = 1 kg## is placed of a fixed rough incline of inclination ##\theta=sin^{-1} \frac{7}{10}## and coefficient of friction ##\mu=\frac{1}{\sqrt{51}}##. It is connected to a spring of spring constant 100 N/m. Initially the spring is in natural state with...

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown >[/color] Hi! Can help me with this problem with my exercise?I don´t know if i did it okay or i have to do anymore Is there another form to do it? Be the π plane, whose equation with the base B (with...

I saw random question somewhere on the internet a couple of weeks ago and it got me really thinking about it. Supposedly you got a remote control miniature toy helicopter hovering inside a bullet train, if the bullet train suddenly started and accelerated to 200km/hr in 3.5 sec, will the toy...

Homework Statement Where does the line through (−2, 3, 2) and (3, 5, −1) intersect the plane x + y − 2z = 6? Homework EquationsThe Attempt at a Solution i used r = r0 + tv the vector between the 2 given points is <5,2,-3> r = (-2,3,2) + t<5,2-3> x = -2 + 5t y=3+2t z=2 - 3t plugging these...

Hi What would be the mathematical approach for calculating the resistance between two close points on an infinite plane of resistive material? And if the plane was circular/square/rectangular with the two points at the cente?

Hello, I am totally bad at geometry , by geometry I mean plane euclidean geometry with similarities and circles. I sometimes feel totally lost with problems. For example: The parallel sides of trapezoid ABCD are 3 cm and 9 cm(AB and DC).The non parallel sides are 4 cm and 6 cm(AD and BC).A...

Homework Statement You are traveling on an airplane. The velocity of the plane with respect to the air is 110 m/s due east. The velocity of the air with respect to the ground is 39 m/s at an angle of 30° west of due north. What is the heading of the plane with respect to the ground? (Let 0°...

Homework Statement A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the top losing speed , a timer is started ( to t0 = 0) when the block passes through...

Homework Statement Homework Equations Since this a proof. Most of the equations I needed were involved in the solution I created. The Attempt at a Solution I believe my proving is valid; however, I was wondering if I might have missed a step or did some math that didn't make sense,

Some time ago I stumbled upon the integration ##\int \frac{dz}{z} ## along a line on the complex plane. I was confused because ##Ln(z)## is a multivalued function but apparently the way you do it is by only considering the principal branch from ##[-\pi,\pi]##. But I don't understand this at...

I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need someone to confirm some...

Homework Statement Find an equation of the plane that passes through the line of intersection of the two planes 3x + 7y + 2z= 0 and -9x - 8y - 6z = 9, and is perpendicular to the plane -2x - 6y + 3z = -10. Homework EquationsThe Attempt at a Solution Here is what I did: I first took the two...

Homework Statement Three vectors A, B, C, each have a magnitude of 46 m and lie in an xy plane. Their directions relative to the positive direction of the x-axis are 28 ˚, 191 ˚, and 313 ˚. What are the magnitude and the angle of A-B+C with right-arrow in the range of (-180°, 180°)? Homework...

My Physics teacher told us to use a = g x sinθ during a lab trying to find how close we could calculate gravity using an inclined plane, a moving cart and a motion sensor to measure acceleration. He also drew a diagram next to the formula. I just wanted to confirm that his diagram was wrong, or...

I have this problem where I need to convert from mouse coordinates on the screen with relative coordinates on an object that can be arbitrarily translated, scaled, and rotated around another arbitrary position. I've already normalized all of the units to be the same (pixels) but the trig is...

Homework Statement The problem states a situtation where two hoops, their centers, and a launch site are all in the same vertical plane. The objective is to launch a tennis ball into both hoops from the launch site. What does it means when it says "vertical plane"? The launch site is not...

Hello, friends! I read that, if a dipole is centred on the origin, with the ##+q>0## charge in ##a>0## and the negative ##-q<0## charge in ##-a##, the field in a point ##(x,y)## of the plane is $$\mathbf{E}=k\frac{3pxy}{(x^2+y^2)^{5/2}}\mathbf{i} +k\frac{p(2y^2-x^2)}{(x^2+y^2)^{5/2}}\mathbf{j}$$...

Homework Statement How do you find tension and friction on an inclined plane given acceleration, two masses and an angle? It's a pulley system, I suppose. Here's a diagram I drew: http://postimg.org/image/m9v9i2qy5/ Homework Equations Fg = ma The Attempt at a Solution I was thinking that I...

1)I am confused why do we take vectors along y-axis and x-axis in motion on a plane? What's essence of learning vectors functions. 2)And in textbooks, they have given that motion in a straight line has 2 directions only. Hope many do motion on a plane has? Please give me simple and detailed...

Homework Statement A pilot flies horizontally at 1300 km/h, at height h = 76 m above initially level ground. However, at time t = 0, the pilot begins to fly over ground sloping upward at angle θ = 7.5° (see the figure). If the pilot does not change the airplane's heading, at what time t does...

If there is a bijection between R and R2, then why can't a point on a plane be represented by one real number instead of two?

About a plane that increases its ground speed as the headwind intensifies Assuming a plane hovers (ground speed Vg=0) against a headwind with a velocity Vw1, is it possible for this plane to start moving (Vg > 0) just because the wind intensifies, increasing its speed from Vw1 to Vw2 > Vw1? It...

Homework Statement :[/B] Two ropes in a vertical plane exert equal-magnitude forces on a hanging weight but pull with an angle of 86 degrees between them. What pull does each one exert if their resultant pull is 372N directly upward? Homework Equations :[/B] x-component= magnitude*cos(theta)...

Homework Statement At the instant shown the block is moving down the slope with P= 49 N, β= 38°, θ= 33° and M= 33 kg.Homework Equations What is the acceleration of the block up the slope if the kinetic coefficient of friction is 0.5? The Attempt at a Solution So I split all the forces into...

Homework Statement https://courses.edx.org/asset-v1:MITx+8.MechCx_2+2T2015+type@asset+block/rolling_quiz_3.svg A block of mass mb and a disk of mass md and radius r are placed on a symmetric triangular slope connected with a massless string over a massless pulley as shown above. The string is...

Hello. My question/problem is this: I have a plane wave traveling in the positive z-direction through 3 different mediums. Also, medium 2 is comprised of a slab with thickness a. I want to express the electric and magnetic fields of the wave as it travels through these mediums. More...

I know that since gravity is a conservative force, the work done by it to displace an object some distance does not depend on the path taken. This leads to the conclusion that the work done by gravity in sliding an object down an inclined plane of height h would be ##mgh##. However, what is the...

An object starts at a height of 5m. The initial incline is 63.4 deg. After moving 2m in the x direction, the incline decreases to 7.125 deg and the motion continues for an additional 8m in the x direction. What is the total time for the object to complete the path?Homework Equations The initial...

Homework Statement In the coordinate plane let ##A_i=(i,1)## for ##l\leq i\leq15##, and let ##A_i=(i-15,4)## for ##16\leq i \leq 30##. Find the number of all isosceles triangles, where all three vertices belong to the set ##\{A_1,A_2, \cdots,A_{30}\}## Homework Equations Knowing the number of...

Why isn't the Oort Cloud shaped like a disk like the asteroid belts and how the planets orbit? Also, why exactly do the planets orbit in that flat disk shape?

Homework Statement I am trying to prove what is asked in the following problem: A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is resisted by a ##f=kmv^2##, show that the time required to move a distance d after starting...

Hello, is it so that symmetries on the plane are essentially discrete subgroups of the group of isometries on the plane? If that is true, then why should we think that the only symmetries in the plane are given by the wallpaper group and the point group? Can't we just change the metric of the...

I read this problem in a "book" in my dreams :sleep:so I want to make sure the problem and my solution are not flawed. (I modified it a bit when I woke up; you know how dreams can be o0)) Homework Statement A cylinder of radius R has a section of angle Φ cut out as shown. After cutting this...

Homework Statement A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have? Homework Equations v=d/t The...

Homework Statement A monochromatic plane wave with frequency ##\omega## and real amplitude ##E_0## passes from medium 1 to medium 2 orthogonally with the surface between the 2 media. Both media are semi-infinite; the indices of refraction are ##n_1=\sqrt{\mu_0 \varepsilon _0}## and...

Homework Statement A car is moving on a horizontal road with speed of 60 km/h. When it starts to move on an inclined plane its velocity decreases by 10 km/h. How much its velocity will increase when the car starts to move down the plane? Assume that the power of the engine remain the same, any...

Homework Statement A body is moving on an inclined plane which has a slope of 30o. When the body is h=1,5m above the surface it has a velocity of vo=3 m/s. At the bottom of the plane it bounces elastically and starts moving upwards. Find the height it reaches, when the coefficient of frictions...

Homework Statement A 1000 kg plane is trying to land on the deck of a 2000 kg barge at rest on the surface of the sea. The only frictional force to consider is between the plane’s wheels and the deck, and this braking force is constant and equal to one-quarter of the plane’s weight. What must...

Homework Statement There is a block of 1kg (m1) resting frictionless on another block of 5kg (m2). m1 is connected by a horizontal spring to m2. m2 is resting on an inclined plane of 45°. Between m2 and the plane there is friction. A force of 200N is applied on m2, pushing it upwards. F=200N...

I've been trying to work out what I'm doing wrong on this question but I just don't get it. 'A cyclist starting from rest freewheels for 120m down a slope of 1 in 30. At the bottom of the slope the road becomes horizontal, and the cyclist stops without using his breaks after going a further...

If I were on an infinitely flat plane and had an infinitely powerful telescope, could i see another person through that telescope standing on that same plane billions of miles away? is it true that the horizon would never block the telescopes view of the other person even though he is billions...

Please just hint me in the right direction, I'm kind of lost with it. Thanks for any help

Homework Statement The smooth homogeneous sphere rests in the 132° groove and bears against the end plate, which is normal to the direction of the groove. Determine the angle θ, measured from the horizontal, for which the reaction on each side of the groove equals the force supported by the end...

I am trying to solve a problem using Newtonian Mechanics. I was able to solve it using Lagrangian Mechanics, and got the correct answer from the textbook, but when I use Newtonian I get the wrong answer. I want to be able to do it both ways in order to understand/appreciate the difference...

Homework Statement What weight WB will cause the system to be in equilibrium? Neglect all friction, and state any other assumptions. Homework Equations ΣF=0 The Attempt at a Solution I can't figure out what I am doing wrong with these pully problems, I tried putting in resultant forces at...